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On quasiconformal mappings corresponding to the beltrami equation

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Abstract

By using methods of integral equations, we investigate problems of conformal and quasiconformal mappings of close domains.

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References

  1. I. N. Vekua,Generalized Analytic Functions [in Russian], Fizmatgiz, Moscow (1953).

    Google Scholar 

  2. G. F. Mandzhavidze, “Boundary-value problem of linear conjugation with shift and its connection with the theory of generalized analytic functions,”Tr. Tbilis. Mat. Inst. 33, 82–87 (1967).

    MATH  Google Scholar 

  3. D. A. Kveselava and Z. V. Samsoniya, “On quasiconformal mapping of domains,” in:Metric Problems of the Theory of Functions [in Russian], Naukova Dumka, Kiev (1980), pp. 53–65.

    Google Scholar 

  4. D. A. Kveselava, “On the application of integral equations in the theory of conformal mappings,”Tr. Vych. Tsentr. Akad. Nauk Gruzii,2, 3–15 (1961).

    MathSciNet  Google Scholar 

  5. N. I. Muskhelishvili,Singular Integral Equations [in Russian], Fizmatgiz, Moscow (1962).

    MATH  Google Scholar 

  6. Z. V. Samsoniya,Constructive Realization of Two-Dimensional Quasiconformal Mappings Corresponding to Linear Elliptic Systems [in Russian], Doctoral-Degree Thesis (Physics and Mathematics), Tbilisi (1991).

  7. Z. V. Samsoniya and I. G. Samkharadze, “On a conformal and quasiconformal mapping of close domains,” in:Optimal Methods of Computations and Their Application to Information Processing [in Russian], Polytechnic Institute, Penza (1992), pp. 100–112.

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Authors
  1. Z. V. Samsoniya
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  2. I. G. Samkharadze
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Additional information

Institute of Computational Mathematics, Georgian Academy of Sciences, Tbilisi. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 10, pp. 1391–1397, October, 1999.

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Samsoniya, Z.V., Samkharadze, I.G. On quasiconformal mappings corresponding to the beltrami equation. Ukr Math J 51, 1569–1577 (1999). https://doi.org/10.1007/BF02981689

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  • DOI: https://doi.org/10.1007/BF02981689

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